JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Radioactivity

  • question_answer
    The half-life period of radium is 1600 years. The fraction of a sample of radium that would remain after 6400 years is [NCERT 1980; SCRA 1994; JIPMER 1997 CBSE PMT 1994; MNR 1998; MP PMT 2004; DPMT 2004]

    A)            \[\frac{1}{4}\]                      

    B)            \[\frac{1}{2}\]

    C)            \[\frac{1}{8}\]                      

    D)            \[\frac{1}{16}\]

    Correct Answer: D

    Solution :

               Fraction \[=\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{\frac{6400}{1600}}}={{\left( \frac{1}{2} \right)}^{4}}=\frac{1}{16}\]


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